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Formula:2889

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Digital Library of Mathematical Functions ID 5.18.E4

Γ q ⁡ ( z ) = ( q ; q ) ∞ ⁢ ( 1 - q ) 1 - z / ( q z ; q ) ∞ , q-Gamma 𝑞 𝑧 q-Pochhammer-symbol 𝑞 𝑞 superscript 1 𝑞 1 𝑧 q-Pochhammer-symbol superscript 𝑞 𝑧 𝑞 {\displaystyle{\displaystyle\Gamma_{q}\left(z\right)=\left(q;q\right)_{\infty}% (1-q)^{1-z}/\left(q^{z};q\right)_{\infty},}}


Constraint(s)

Symbols List

  • ( a ; q ) n q-Pochhammer-symbol 𝑎 𝑞 𝑛 {\displaystyle{\displaystyle\left(\NVar{a};\NVar{q}\right)_{\NVar{n}}}} :
  • q 𝑞 {\displaystyle{\displaystyle q}} : real or complex variable
  • z 𝑧 {\displaystyle{\displaystyle z}} : complex variable
  •  Edit this on Wikidata

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This page was last edited on 28 January 2024, at 10:30.
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